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Simplifying 8x + -2(3x + -5) = 3x + 15 Reorder the terms: 8x + -2(-5 + 3x) = 3x + 15 8x + (-5 * -2 + 3x * -2) = 3x + 15 8x + (10 + -6x) = 3x + 15 Reorder the terms: 10 + 8x + -6x = 3x + 15 Combine like terms: 8x + -6x = 2x 10 + 2x = 3x + 15 Reorder the terms: 10 + 2x = 15 + 3x Solving 10 + 2x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 2x + -3x = 15 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = 15 + 0 10 + -1x = 15 Add '-10' to each side of the equation. 10 + -10 + -1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 15 + -10 -1x = 15 + -10 Combine like terms: 15 + -10 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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